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48828574260 = 22325299354133
BaseRepresentation
bin101101011110011010…
…001110101000110100
311200000221120120121100
4231132122032220310
51300000103334020
634233113450100
73346006014234
oct553632165064
9150027516540
1048828574260
1119787503604
129568710930
1347b21715bb
142512d1bcc4
15140bb00a90
hexb5e68ea34

48828574260 has 72 divisors (see below), whose sum is σ = 153220714920. Its totient is φ = 12571953408.

The previous prime is 48828574237. The next prime is 48828574279. The reversal of 48828574260 is 6247582884.

48828574260 is a `hidden beast` number, since 4 + 8 + 8 + 2 + 8 + 574 + 2 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2105157924 + 46723416336 = 45882^2 + 216156^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 48828574197 and 48828574206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4671847 + ... + 4682286.

It is an arithmetic number, because the mean of its divisors is an integer number (2128065485).

Almost surely, 248828574260 is an apocalyptic number.

It is an amenable number.

48828574260 is an abundant number, since it is smaller than the sum of its proper divisors (104392140660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48828574260 is a wasteful number, since it uses less digits than its factorization.

48828574260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9354177 (or 9354172 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 48828574260 in words is "forty-eight billion, eight hundred twenty-eight million, five hundred seventy-four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 9354133 18708266 28062399 37416532 46770665 56124798 84187197 93541330 112249596 140311995 168374394 187082660 271269857 280623990 336748788 420935985 542539714 561247980 813809571 841871970 1085079428 1356349285 1627619142 1683743940 2441428713 2712698570 3255238284 4069047855 4882857426 5425397140 8138095710 9765714852 12207143565 16276191420 24414287130 48828574260